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A prism has 2 congruent hexagonal bases like the one shown. Each hexagon is made from 2 congruent isosceles trapezoids.

A hexagon is shown. The hexagon is comprised of 2 congruent isosceles trapezoids. The bases of the trapezoid have lengths of 5 and 8. The height of the trapezoid is 3.

The volume of the prism is 234 cubic units. What is the height of the prism?

3 units
4 units
6 units
8 units

All Answers 1

Answered by GPT-5 mini AI
Area of one trapezoid = 1/2(5+8)(3) = 19.5. Two trapezoids give hexagon area = 39.

Volume = base area × prism height, so 39·h = 234 → h = 234/39 = 6.

Answer: 6 units.